Question

Is zero a fraction?

Answer 1

Hint: Every rational number is a fraction. A rational number is one which can be written in the form of ${\displaystyle \frac{p}{q}}$ where $q\ne 0$ or it can be defined as a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

Complete step by step answer:
A fraction is used to define the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Example: ${\displaystyle \frac{3}{7}}$ is a fraction
Here $3$ is a numerator and $7$ is a denominator.
We can conclude that zero is a fraction by following statements:
zero divided by any number is equal to zero.
For example: ${\displaystyle \frac{0}{1}}=0$,${\displaystyle \frac{0}{2}}=0$,${\displaystyle \frac{0}{3}}=0$
So zero can be written as a fraction.
Every rational number is a fraction and $0$ is a rational number as it can be written in the form of ${\displaystyle \frac{p}{q}}$. $0$ can be written as ${\displaystyle \frac{0}{1}}$ , ${\displaystyle \frac{0}{2}}$, ${\displaystyle \frac{0}{3}}$ so it is a rational number. Hence it is a fraction.
Hence by the above two statements we can conclude that $0$ is a fraction.

Note:
We know that zero comes under the whole number which comes under the rational number and all rational numbers are fractions. A fraction is any number which is of the form ${\displaystyle \frac{a}{b}}$ where both $a$ and $b$ are whole numbers and $b\ne 0$. Whereas rational numbers are of the form ${\displaystyle \frac{p}{q}}$ where $p$ and $q$ are integers. One point is to be noted that for $0$ to be a fraction we can’t write it in denominator as for fraction the denominator should always not equal to zero.